The England international, whose son is two years old, was asked about the possibility during a Q&A session with the Daily Mail, which was aired on YouTube.
Wilshere responded: "I hope so. He kicks the ball around, but he is only two so I am not putting any pressure on him. Maybe one day I could play with him. When he is 16 I will be 35 so you never know."
Wilshere also has a daughter Delilah Grace, who was born in September.